Believe me, I don't say this lightly and may be one of the few rare times I do...
Trust the phone CM in this case.
They will have characters at lunch. The v2 restaurant site on the Disney Website has been off on a lot of character stuff since it was released (see the LTT debate for an example).
TBH, I trust the phone CMs a little more than the bus drivers a little more than the website

. Of course, I trust the Magic 8-Ball more than any of the 3, but that's beside the point.